Determining the stress-strain relation of eutectic Sn58Bi alloy by nanoindentation combined with reverse analysis

In this study, nanoindentation load-displacement curves of an eutectic Sn58Bi alloy were obtained. The measured elastic modulus and hardness were 40.6180 and 0.2886 GPa, respectively. To determine the power-law elastoplastic constitutive relation of this alloy, reverse analysis of the loading stage of the nanoindentation was performed to identity the representative stress and strain by finite element simulation. Based on the dimensional analysis put forward by Dao et al., the calculated strain-hardening exponent was 0.2577. The yield strength of eutectic Sn58Bi alloy can be identified by substituting the obtained elastic modulus, strain-hardening exponent, representative stress and strain into the power-law constitutive model.